Persona 4: Dancing All Night isn't the meatiest of music games — it currently only has 30 songs (3 of which are DLC). However, it largely makes up for this with the sheer number of new remixes of classic Persona 4 songs. Have a listen!
"Never More" [DLC]
Persona 4 Golden
Persona 4 Arena
Persona Q: Shadow of the Labyrinth
Persona 4: Dancing All Night
"Garisutegia" [This one is filled with spoilers!]
Persona 4: Dancing All Night was released in Japan for the PlayStation Vita on June 25, 2015. It will be released in the West on September 29, 2015.